I'm planning an experiment in which participants will respond to a stimulus by using a mouse to click somewhere on a computer screen. I'm interested in analyzing the strategies participants use to generate their responses.
On theoretical grounds, I expect the main strategies to be associated with a particular type of mouse movement trajectory, in which the mouse moves through a sequence of "fixations" prior to the final click. By "fixation" I mean a mouse movement to a certain spot (or small area) for purposes of "marking" the spot in the participant's mind. I expect fixations to be associated with the mouse cursor pausing or stopping within a small area (though it might not stop entirely), or by a sudden sharp change in direction without a pause.
How can I extract a succession of such "fixations" from the raw mouse cursor trajectory (i.e., positions & time stamps)?